Horogram: Difference between revisions

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~~{{todo|inline=true|expand|comment=This page is a work in progress. Feel free to edit as needed.}}~~

A horogram is a diagram that visualizes the [[interval]] pattern for a [[scale]] based on a repeated [[Generator|generating]] interval. This is useful for visualizing the step pattern for [[MOS|moment-of-symmetry scales]] and other similar scales.

A horogram is a diagram that visualizes the interval pattern for a scale based on a repeated generating interval. This is useful for visualizing the step pattern for moment-of-symmetry scales and other similar scales.

Horograms are primarily the work of Erv Wilson.

Horograms are primarily the work of [[Erv Wilson]].

== Diagrams ==

=== Circular ~~Horogram~~ ===

=== Circular horogram ===

The most familiar form of the horogram is based on Wilson's work. Here, the size of the generating intervals are represented as angles, and successive circles radiating from the center represent increasingly chromatic child scales.

The most familiar form of the horogram is based on Wilson's work. Here, the size of the generating intervals are represented as angles, and successive circles radiating from the center represent increasingly chromatic (fine) child scales.

~~==== Example ====~~

==== Examples ====

File:5EDO Horogram P1200G720L3.png|720 cent generator ending in 5edo

File:7EDO-Horogram P1200G685.71L4.png|685.71 cent generator ending in 7edo

File:9EDO Horogram P1200G666.67L5.png|666.67 cent generator ending in 9edo

File:10EDO Horogram P1200G840L5.png|840 cent generator ending in 10edo

File:11EDO Horogram P1200G763.64L5.png|763.64 cent generator ending in 11edo

File:13EDO Horogram P1200G738.46L5.png|738.46 cent generator ending in 13edo

File:14EDO Horogram P1200G771.43L6.png|771.43 cent generator ending in 14edo

File:15EDO Horogram P1200G880L6.png|880 cent generator ending in 15edo

</gallery>

==== Construction ====

The construction of a circular horogram is based on rotating a pointer hand by the same angle repeatedly.

=== Rectangular ~~Horogram~~ ===

{{todo|inline=1|complete section|text=Explain in step by step detail.}}

=== Rectangular horogram ===

A rectangular version of a horogram conveys the same information as a circular horogram but in a rectangular format.

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== Applications ==

=== Moment-of-~~Symmetry Scales~~ ===

=== Moment-of-symmetry scales ===

=== Max-variety-3 scales ===

== See also ==

* [[Circle diagram]]

==~~= Max-Variety-3 Scales =~~==

== External links ==

* [http://anaphoria.com/wilson.html The Wilson Archives] (contains various PDF files depicting horograms)

=~~= External Links ==~~

~~[http://anaphoria.com/wilson.html The Wilson Archives] (contains various PDF files depicting horograms)~~

[[Category:Horogram]]

[[Category:Erv Wilson]]

@@ Line 1: / Line 1: @@
-{{todo|inline=true|expand|comment=This page is a work in progress. Feel free to edit as needed.}}
+A horogram is a diagram that visualizes the [[interval]] pattern for a [[scale]] based on a repeated [[Generator|generating]] interval. This is useful for visualizing the step pattern for [[MOS|moment-of-symmetry scales]] and other similar scales.
-A horogram is a diagram that visualizes the interval pattern for a scale based on a repeated generating interval. This is useful for visualizing the step pattern for moment-of-symmetry scales and other similar scales.
-Horograms are primarily the work of Erv Wilson.
+Horograms are primarily the work of [[Erv Wilson]].
 == Diagrams ==
-=== Circular Horogram ===
+=== Circular horogram ===
-The most familiar form of the horogram is based on Wilson's work. Here, the size of the generating intervals are represented as angles, and successive circles radiating from the center represent increasingly chromatic child scales.
+The most familiar form of the horogram is based on Wilson's work. Here, the size of the generating intervals are represented as angles, and successive circles radiating from the center represent increasingly chromatic (fine) child scales.
-==== Example ====
+==== Examples ====
+<gallery mode="nolines">
+File:5EDO Horogram P1200G720L3.png|720 cent generator ending in 5edo
+File:7EDO-Horogram P1200G685.71L4.png|685.71 cent generator ending in 7edo
+File:9EDO Horogram P1200G666.67L5.png|666.67 cent generator ending in 9edo
+File:10EDO Horogram P1200G840L5.png|840 cent generator ending in 10edo
+File:11EDO Horogram P1200G763.64L5.png|763.64 cent generator ending in 11edo
+File:13EDO Horogram P1200G738.46L5.png|738.46 cent generator ending in 13edo
+File:14EDO Horogram P1200G771.43L6.png|771.43 cent generator ending in 14edo
+File:15EDO Horogram P1200G880L6.png|880 cent generator ending in 15edo
+</gallery>
 ==== Construction ====
 The construction of a circular horogram is based on rotating a pointer hand by the same angle repeatedly.
-=== Rectangular Horogram ===
+{{todo|inline=1|complete section|text=Explain in step by step detail.}}
+=== Rectangular horogram ===
 A rectangular version of a horogram conveys the same information as a circular horogram but in a rectangular format.
@@ Line 79: / Line 89: @@
 == Applications ==
-=== Moment-of-Symmetry Scales ===
+=== Moment-of-symmetry scales ===
+{{todo|inline=1|complete section}}
+=== Max-variety-3 scales ===
+{{todo|inline=1|complete section}}
+== See also ==
+* [[Circle diagram]]
-=== Max-Variety-3 Scales ===
+== External links ==
+* [http://anaphoria.com/wilson.html The Wilson Archives] (contains various PDF files depicting horograms)
-== External Links ==
+{{todo|inline=1|add examples}}
-[http://anaphoria.com/wilson.html The Wilson Archives] (contains various PDF files depicting horograms)
 [[Category:Horogram]]
 [[Category:Erv Wilson]]